Live analysis

1,003,146

1,003,146 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

1,003,146 (one million three thousand one hundred forty-six) is an even 7-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 167,191. Its proper divisors sum to 1,003,158, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4E8A.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Semiperfect Number Sphenic Number Squarefree

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,003,134 1,003,135 1,003,136 1,003,137 1,003,138 1,003,139 1,003,140 1,003,141 1,003,142 1,003,143 1,003,144 1,003,145 1,003,146 1,003,147 1,003,148 1,003,149 1,003,150 1,003,151 1,003,152 1,003,153 1,003,154 1,003,155 1,003,156 1,003,157 1,003,158

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 6,413,001
Square (n²): 1,006,301,897,316
Cube (n³): 1,009,467,723,084,956,136
Divisor count: 8
σ(n) — sum of divisors: 2,006,304
φ(n) — Euler's totient: 334,380
Sum of prime factors: 167,196

Primality

Prime factorization: 2 × 3 × 167191

Nearest primes: 1,003,141 (−5) · 1,003,193 (+47)

Divisors & multiples

All divisors (8)

1 · 2 · 3 · 6 · 167191 · 334382 · 501573 (half) · 1003146

Aliquot sum (sum of proper divisors): 1,003,158

Factor pairs (a × b = 1,003,146)

1 × 1003146

2 × 501573

3 × 334382

6 × 167191

First multiples

1,003,146 · 2,006,292 (double) · 3,009,438 · 4,012,584 · 5,015,730 · 6,018,876 · 7,022,022 · 8,025,168 · 9,028,314 · 10,031,460

Sums & aliquot sequence

As consecutive integers: 334,381 + 334,382 + 334,383 250,785 + 250,786 + 250,787 + 250,788 83,590 + 83,591 + … + 83,601

Aliquot sequence: 1,003,146 → 1,003,158 → 1,399,242 → 1,614,678 → 1,911,978 → 2,336,982 → 2,425,818 → 2,475,078 → 2,609,322 → 2,737,110 → 3,832,026 → 4,528,902 → 6,433,530 → 9,007,014 → 9,007,026 → 12,665,934 → 14,776,962 — unresolved within range

Continued fraction of √n

√1,003,146 = [1001; (1, 1, 2, 1, 59, 1, 76, 16, 1, 1, 5, 2, 6, 1, 1, 11, 3, 6, 2, 6, 1, 12, 1, 18, …)]

Representations

In words: one million three thousand one hundred forty-six
Ordinal: 1003146th
Binary: 11110100111010001010
Octal: 3647212
Hexadecimal: 0xF4E8A
Base64: D06K
One's complement: 4,293,964,149 (32-bit)
Scientific notation: 1.003146 × 10⁶
As a duration: 1,003,146 s = 11 days, 14 hours, 39 minutes, 6 seconds

In other bases

ternary (3) 1212222001120

quaternary (4) 3310322022

quinary (5) 224100041

senary (6) 33300110

septenary (7) 11345424

nonary (9) 1788046

undecimal (11) 625751

duodecimal (12) 404636

tridecimal (13) 2917a1

tetradecimal (14) 1c1814

pentadecimal (15) 14c366

As an angle

1,003,146° = 2,786 × 360° + 186°

186° ≈ 3.246 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬三千一百四十六
Chinese (financial): 壹佰萬參仟壹佰肆拾陸

In other modern scripts

Eastern Arabic ١٠٠٣١٤٦ Devanagari १००३१४६ Bengali ১০০৩১৪৬ Tamil ௧௦௦௩௧௪௬ Thai ๑๐๐๓๑๔๖ Tibetan ༡༠༠༣༡༤༦ Khmer ១០០៣១៤៦ Lao ໑໐໐໓໑໔໖ Burmese ၁၀၀၃၁၄၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1003146, here are decompositions:

5 + 1003141 = 1003146
13 + 1003133 = 1003146
37 + 1003109 = 1003146
43 + 1003103 = 1003146
59 + 1003087 = 1003146
97 + 1003049 = 1003146
107 + 1003039 = 1003146
127 + 1003019 = 1003146

Showing the first eight; more decompositions exist.

Hex color

#0F4E8A

RGB(15, 78, 138)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.78.138.

Address: 0.15.78.138
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.78.138

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 1,003,146 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US1,003,146 on Google Patents ↗ Look up on USPTO ↗